That was published in 1817. It was a widely used lawbook in the state of Pennsylvania, and it's second addition was published in 1847.
It was based on the work of the Pennsylvania Supreme court, the members of which all had connections to either creating the US Constitution or ratifying it, in determining what English laws would no longer apply in Pennsylvania.
They undertook the task of weighing the English common laws and statutes as a result of the Pennsylvania legislature ordering them to clarify the issue of what parts of the common law would still remain in effect in Pennsylvania.
The point here is that people who actually knew what they were talking about were the source for this information.
Of course something published in 1817 would rely on the naturalization act of 1804. It would not, however, consider the 14th amendment.
The 14th clarified prior treatment of the citizenship issue. As such, it is now the law of the land.